A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems

Journal of Computational Physics

Volumn 227, Issue 16, 2008, Pages 7701-7719

  Karle, Ch ^a   Schweitzer, J ^a   Hochbruck, M ^a   Spatschek, K H ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

Gautschi type integrator; Nonlinear wave propagation; Quasi envelope approach; Relativistic plasma dynamics

Indexed keywords

ELECTROMAGNETIC WAVE PROPAGATION IN PLASMA; FOURIER TRANSFORMS; LASER PRODUCED PLASMAS; MAGNETOHYDRODYNAMICS; NUMERICAL METHODS; PLASMA DIAGNOSTICS; PLASMA INTERACTIONS;

GAUTSCHI; GAUTSCHI-TYPE INTEGRATOR; LASER-PLASMAS; NONLINEAR WAVE PROPAGATION; PLASMA DYNAMICS; QUASI-ENVELOPE APPROACH; RELATIVISTIC PLASMA DYNAMIC; RELATIVISTIC PLASMAS; TWO-DIMENSIONAL; VACUUM SYSTEM;

LASER BEAMS;

EID: 45849124191     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.04.024     Document Type: Article

References (20)

1. Mourou G. Optics in the relativistic regime. Rev. Mod. Phys. 78 (2006) 303-371
2. Sprangle P., Esarey E., and Ting A. Nonlinear interaction of intense laser pulses in plasmas. Rhys. Rev. A 41 (1990) 4463
3. Pukhov A. Strong field interaction of laser radiation. Rep. Prog. Phys. 66 (2003) 47-101
4. Bingham R., de Angelis U., Amin M., Cairns R., and McNamara B. Relativistic Langmuir waves generated by ultra-short pulse lasers. Plasma Phys. Control. Fusion 34 (1992) 557-567
5. Gorbunov L., and Kirsanov V. Excitation of plasma waves by an electromagnetic wave packet. Zh. Eksp. Teor. Fiz. 93 (1987) 509
6. Pukhov A., and ter Vehn J.M. Laser wake field acceleration: the highly non-linear broken-wave regime. Appl. Phys. B 74 (2002) 355
7. Faure J., Glinec Y., Pukhov A., Kiselev S., Gordienko S., Lefebvre E., Rousseau J.-P., Burgy F., and Malka V. A laser-plasma accelerator producing monoenergetic electron beams. Nature 431 (2004) 541
8. Faure J., Rechatin C., Norlin A., Lifschitz A., Glinec Y., and Malka V. Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses. Nature 444 (2006) 737
9. Malka V., Faure J., Glinec Y., and Lifschitz A. Laser-plasma accelerators: a new tool for science and for society. Plasma Phys. Control. Fusion 47 (2005) 481
10. Shorokov O., Pukhov A., and Kostyukov I. Self-compression of laser pulses in plasma. Phys. Rev. Lett. 91 (2003) 265002-1-265002-4
11. Karle C., Schweitzer J., Hochbruck M., Laedke E., and Spatschek K. Numerical solution of nonlinear wave equations in stratified dispersive media. J. Comp. Phys. 216 (2006) 138-152
12. Ren C., Duda B., Hemker R., Mori W., Katsouleas T., Antonsen T., and Mora P. Compressing and focusing a short laser pulse by a thin plasma lens. Phys. Rev. E 63 (2001) 026411
13. Hairer E., Lubich C., and Wanner G. Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations (2002), Springer, Berlin
14. Hochbruck M., and Lubich C. A Gautschi-type method for oscillatory second-order differential equations. Numer. Math. 83 (1999) 403-426
15. Hairer E., and Lubich C. Long-time energy conservation of numerical methods for oscillatory differential equations. SIAM J. Numer. Anal. 38 2 (2000) 414-441
16. Grimm V., and Hochbruck M. Error analysis of exponential integrators for oscillatory second-order differential equations. J. Phys. A: Math. Gen. 39 (2006) 5495-5507
17. Hairer E., Lubich C., and Wanner G. Geometric numerical integration illustrated by the Störmer/Verlet method. Acta Numer. (2003) 1-51
18. Druskin V., and Knizherman L. Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Numer. Linear Algebra Appl. 2 3 (1995) 205-217
19. Hochbruck M., and Lubich C. On Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal. 34 5 (1997) 1911-1925
20. Ch. Karle, Relativistic laser pulse compression and focusing in stratified plasma-vacuum systems, Ph.D. Thesis, Institut für Theoretische Physik, Universität Düsseldorf, Germany, 2008.